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Finding the Fourth Proportional to 20,472.37, 30,713.63 and 16,271.46

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Solution

The fourth proportional to 20,472.37, 30,713.63 and 16,271.46 is: 24,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.37 : 30,713.63 = 16,271.46 : x
  2. Step 2: Convert to fraction form
    20,472.37/30,713.63 = 16,271.46/x
  3. Step 3: Cross multiply
    20,472.37x = 30,713.63 × 16,271.46
  4. Step 4: Simplify right side
    20,472.37x = 499,755,520.64
  5. Step 5: Solve for x
    x = 499,755,520.64/20,472.37
  6. Step 6: Final answer
    x = 24,411.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.